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Beliebt Rechnen >

integral of 4x+7

Lösung

\int 4 x + 7 d x

Lösung

2 x^{2} + 7 x + C

Schritte zur Lösung

\int 4 x + 7 d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 4 x d x + \int 7 d x

\int 4 x d x = 2 x^{2}

\int 7 d x = 7 x

= 2 x^{2} + 7 x

Füge eine Konstante zur Lösung hinzu

= 2 x^{2} + 7 x + C

Graph

Beliebte Beispiele

integral of (3x+9)/(x^2-4x-5)

\int \frac{3 x + 9}{x ^{2} - 4 x - 5} d x

derivative of x/(4x-3ln(x))

\frac{d}{d x} (\frac{x}{4 x - 3 ln ( x )})

integral of x(sin(x))

\int x (sin (x)) d x

limit as x approaches 0 of x/(|x|+x)

x \to 0 lim (\frac{x}{∣ x ∣ + x})

derivative of (3x^2/(x^3+1))

\frac{d}{d x} (\frac{3 x ^{2}}{x ^{3} + 1})